The only real nickname I have is Dee, which is short for my full nickname, Dee-Da-Da.
The story is simple, when my cousin, Katie, was little she could not say Angela, she said Dee-Da-Da. It stuck to a few in my family, my dad started calling me that, then a few of my friends... it's tamed off a bit since. My aunt still calls me Dee all the time. A couple of my friends do... and I think my dad occasionally does.
Other than that, I guess Ang is technically is a nickname, even though it's just short for my real name. Ang is what I want people to call me if we have a relationship, or if I introduce myself as Ang... then it's cool. My blogger friends - you better call me Ang, cause that's how I roll around these parts. I don't do Angie, but Angela is also acceptable.